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Nguyen Minh Tung, Nguyen Minh Cuong, Second-order optimality conditions for nonsmooth multiobjective optimization subjected to mixed constraints

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DOI: 10.23952/asvao.7.2025.1.03
Volume 7, Issue 1, 1 April 2025, Pages 39-55

 

Abstract. This paper provides some second-order optimality conditions for local weak and strict efficient solutions to a nonsmooth multiobjective optimization problem subjected to both equality and inequality constraints. We first propose a type of second-order Abadie constraint qualification (CQ) and give a sufficient condition for this CQ with the help of the property of local error bound. Then, we employ it to obtain primal necessary conditions. A primal sufficient condition is also established. We next employ some alternative theorems to obtain the corresponding dual results. Applications to nonsmooth fractional programming problems are given. Finally, some examples are provided to illustrate our results.

 

How to Cite this Article:
N.M. Tung, N.M. Cuong, Second-order optimality conditions for nonsmooth multiobjective optimization subjected to mixed constraints, Appl. Set-Valued Anal. Optim. 7 (2025), 39-55.